15.06/4.30 YES 15.34/4.31 15.34/4.31 Problem: 15.34/4.31 0(0(1(2(x1)))) -> 0(2(1(3(3(0(x1)))))) 15.34/4.31 0(1(0(4(x1)))) -> 0(1(3(0(4(x1))))) 15.34/4.31 0(1(0(5(x1)))) -> 0(1(3(5(0(x1))))) 15.34/4.31 0(1(5(0(x1)))) -> 0(1(3(5(0(x1))))) 15.34/4.31 0(3(1(0(x1)))) -> 0(1(3(5(0(x1))))) 15.34/4.31 3(1(0(2(x1)))) -> 1(3(5(0(2(x1))))) 15.34/4.31 3(1(0(2(x1)))) -> 3(2(1(3(0(x1))))) 15.34/4.31 3(1(0(5(x1)))) -> 1(3(5(3(0(x1))))) 15.34/4.31 3(1(2(0(x1)))) -> 2(1(3(3(0(x1))))) 15.34/4.31 3(1(2(0(x1)))) -> 3(0(2(1(4(x1))))) 15.34/4.31 3(1(2(0(x1)))) -> 3(0(3(2(1(x1))))) 15.34/4.31 3(1(2(0(x1)))) -> 3(3(2(1(0(x1))))) 15.34/4.31 3(1(2(0(x1)))) -> 3(5(2(1(0(x1))))) 15.34/4.31 3(1(2(2(x1)))) -> 3(5(2(2(1(x1))))) 15.34/4.31 3(4(2(0(x1)))) -> 3(3(2(4(0(x1))))) 15.34/4.31 4(0(1(0(x1)))) -> 1(3(0(4(0(x1))))) 15.34/4.31 5(1(0(5(x1)))) -> 1(3(3(5(5(0(x1)))))) 15.34/4.31 5(2(5(0(x1)))) -> 5(2(3(5(0(x1))))) 15.34/4.31 5(3(1(0(x1)))) -> 0(1(3(5(5(x1))))) 15.34/4.31 0(0(4(1(0(x1))))) -> 0(4(1(3(0(0(x1)))))) 15.34/4.31 0(1(2(0(5(x1))))) -> 0(3(0(5(1(2(x1)))))) 15.34/4.31 0(1(3(1(2(x1))))) -> 3(0(2(2(1(1(x1)))))) 15.34/4.31 0(1(5(0(4(x1))))) -> 0(4(1(3(5(0(x1)))))) 15.34/4.31 0(1(5(3(5(x1))))) -> 0(1(3(5(3(5(x1)))))) 15.34/4.31 0(2(0(3(4(x1))))) -> 0(4(5(2(3(0(x1)))))) 15.34/4.31 0(2(3(1(5(x1))))) -> 0(1(3(5(5(2(x1)))))) 15.34/4.31 0(2(4(1(2(x1))))) -> 0(2(1(1(4(2(x1)))))) 15.34/4.31 0(2(5(0(2(x1))))) -> 0(0(3(5(2(2(x1)))))) 15.34/4.31 0(2(5(5(0(x1))))) -> 0(0(2(5(1(5(x1)))))) 15.34/4.31 0(3(1(5(0(x1))))) -> 1(3(0(5(3(0(x1)))))) 15.34/4.31 0(5(3(2(0(x1))))) -> 0(0(2(1(3(5(x1)))))) 15.34/4.31 3(1(0(5(2(x1))))) -> 2(4(1(3(5(0(x1)))))) 15.34/4.31 3(1(3(0(2(x1))))) -> 2(1(3(3(3(0(x1)))))) 15.34/4.31 3(1(3(2(0(x1))))) -> 3(1(3(0(5(2(x1)))))) 15.34/4.31 3(1(4(1(2(x1))))) -> 1(4(3(2(2(1(x1)))))) 15.34/4.31 3(1(4(2(0(x1))))) -> 2(1(3(3(0(4(x1)))))) 15.34/4.31 3(1(5(0(2(x1))))) -> 2(5(1(3(0(5(x1)))))) 15.34/4.31 3(3(1(0(0(x1))))) -> 5(1(3(3(0(0(x1)))))) 15.34/4.31 3(4(0(2(0(x1))))) -> 3(0(0(2(1(4(x1)))))) 15.34/4.31 3(4(2(3(2(x1))))) -> 3(3(2(5(4(2(x1)))))) 15.34/4.31 4(3(1(0(2(x1))))) -> 4(2(1(3(0(1(x1)))))) 15.34/4.31 4(3(1(2(0(x1))))) -> 1(3(0(1(4(2(x1)))))) 15.34/4.31 4(5(5(1(2(x1))))) -> 5(4(5(2(1(1(x1)))))) 15.34/4.31 4(5(5(5(0(x1))))) -> 5(5(1(5(0(4(x1)))))) 15.34/4.31 5(1(0(1(2(x1))))) -> 2(1(1(3(5(0(x1)))))) 15.34/4.31 5(1(1(0(4(x1))))) -> 5(1(1(4(3(0(x1)))))) 15.34/4.31 5(1(5(2(0(x1))))) -> 2(1(3(5(0(5(x1)))))) 15.34/4.31 5(4(1(0(5(x1))))) -> 4(1(3(5(5(0(x1)))))) 15.34/4.31 15.34/4.31 Proof: 15.34/4.31 Bounds Processor: 15.34/4.31 bound: 0 15.34/4.31 enrichment: match 15.34/4.31 automaton: 15.34/4.31 final states: {170,166,162,160,156,153,150,145,141,139,136,131,128, 15.34/4.31 125,121,118,117,113,110,105,100,95,90,86,81,79,74,69, 15.34/4.31 64,59,57,53,50,46,43,41,37,32,28,7,25,22,17,13,8,1} 15.34/4.31 transitions: 15.34/4.31 f60() -> 2* 15.34/4.31 00(60) -> 132* 15.34/4.31 00(35) -> 36* 15.34/4.31 00(30) -> 31* 15.34/4.31 00(97) -> 151* 15.34/4.31 00(77) -> 78* 15.34/4.31 00(47) -> 51* 15.34/4.31 00(12) -> 8* 15.34/4.31 00(7) -> 1* 15.34/4.31 00(2) -> 3* 15.34/4.31 00(109) -> 105* 15.34/4.31 00(104) -> 100* 15.34/4.31 00(99) -> 95* 15.34/4.31 00(94) -> 90* 15.34/4.31 00(89) -> 86* 15.34/4.31 00(9) -> 10* 15.34/4.31 00(116) -> 113* 15.34/4.31 00(91) -> 122* 15.34/4.31 00(71) -> 72* 15.34/4.31 00(31) -> 140* 15.34/4.31 00(26) -> 111* 15.34/4.31 00(16) -> 13* 15.34/4.31 00(108) -> 109* 15.34/4.31 00(103) -> 104* 15.34/4.31 00(73) -> 69* 15.34/4.31 00(68) -> 64* 15.34/4.31 00(63) -> 59* 15.34/4.31 00(33) -> 146* 15.34/4.31 00(18) -> 19* 15.34/4.31 00(3) -> 65* 15.34/4.31 00(115) -> 116* 15.34/4.31 00(85) -> 81* 15.34/4.31 00(80) -> 79* 15.34/4.31 20(75) -> 76* 15.34/4.31 20(15) -> 58* 15.34/4.31 20(142) -> 143* 15.34/4.31 20(107) -> 108* 15.34/4.31 20(47) -> 48* 15.34/4.31 20(2) -> 18* 15.34/4.31 20(169) -> 166* 15.34/4.31 20(114) -> 115* 15.34/4.31 20(34) -> 44* 15.34/4.31 20(29) -> 30* 15.34/4.31 20(4) -> 87* 15.34/4.31 20(161) -> 160* 15.34/4.31 20(76) -> 77* 15.34/4.31 20(6) -> 7* 15.34/4.31 20(148) -> 149* 15.34/4.31 20(98) -> 99* 15.34/4.31 20(38) -> 39* 15.34/4.31 20(33) -> 34* 15.34/4.31 20(23) -> 24* 15.34/4.31 20(18) -> 101* 15.34/4.31 20(135) -> 131* 15.34/4.31 20(130) -> 128* 15.34/4.31 20(120) -> 118* 15.34/4.31 20(80) -> 117* 15.34/4.31 10(60) -> 106* 15.34/4.31 10(55) -> 171* 15.34/4.31 10(15) -> 16* 15.34/4.31 10(5) -> 6* 15.34/4.31 10(157) -> 158* 15.34/4.31 10(152) -> 150* 15.34/4.31 10(147) -> 148* 15.34/4.31 10(137) -> 138* 15.34/4.31 10(127) -> 125* 15.34/4.31 10(112) -> 110* 15.34/4.31 10(97) -> 98* 15.34/4.31 10(82) -> 114* 15.34/4.31 10(62) -> 63* 15.34/4.31 10(52) -> 50* 15.34/4.31 10(27) -> 25* 15.34/4.31 10(2) -> 33* 15.34/4.31 10(164) -> 165* 15.34/4.31 10(129) -> 130* 15.34/4.31 10(119) -> 120* 15.34/4.31 10(84) -> 85* 15.34/4.31 10(9) -> 29* 15.34/4.31 10(4) -> 23* 15.34/4.31 10(96) -> 97* 15.34/4.31 10(66) -> 67* 15.34/4.31 10(56) -> 53* 15.34/4.31 10(21) -> 17* 15.34/4.31 10(16) -> 161* 15.34/4.31 10(11) -> 12* 15.34/4.31 10(168) -> 169* 15.34/4.31 10(163) -> 164* 15.34/4.31 10(133) -> 134* 15.34/4.31 10(123) -> 124* 15.34/4.31 10(93) -> 94* 15.34/4.31 10(33) -> 75* 15.34/4.31 10(18) -> 70* 15.34/4.31 10(3) -> 38* 15.34/4.31 30(65) -> 66* 15.34/4.31 30(60) -> 82* 15.34/4.31 30(55) -> 56* 15.34/4.31 30(45) -> 43* 15.34/4.31 30(40) -> 37* 15.34/4.31 30(20) -> 21* 15.34/4.31 30(10) -> 11* 15.34/4.31 30(5) -> 119* 15.34/4.31 30(167) -> 168* 15.34/4.31 30(132) -> 133* 15.34/4.31 30(122) -> 123* 15.34/4.31 30(102) -> 103* 15.34/4.31 30(92) -> 93* 15.34/4.31 30(72) -> 73* 15.34/4.31 30(42) -> 41* 15.34/4.31 30(144) -> 141* 15.34/4.31 30(124) -> 121* 15.34/4.31 30(54) -> 55* 15.34/4.31 30(49) -> 46* 15.34/4.31 30(44) -> 126* 15.34/4.31 30(39) -> 40* 15.34/4.31 30(34) -> 35* 15.34/4.31 30(24) -> 22* 15.34/4.31 30(14) -> 15* 15.34/4.31 30(4) -> 5* 15.34/4.31 30(151) -> 152* 15.34/4.31 30(146) -> 147* 15.34/4.31 30(111) -> 112* 15.34/4.31 30(66) -> 137* 15.34/4.31 30(61) -> 62* 15.34/4.31 30(51) -> 52* 15.34/4.31 30(36) -> 32* 15.34/4.31 30(31) -> 28* 15.34/4.31 30(26) -> 27* 15.34/4.31 30(11) -> 129* 15.34/4.31 30(143) -> 144* 15.34/4.31 30(83) -> 84* 15.34/4.31 30(78) -> 74* 15.34/4.31 30(48) -> 49* 15.34/4.31 30(3) -> 4* 15.34/4.31 30(140) -> 139* 15.34/4.31 40(67) -> 68* 15.34/4.31 40(2) -> 9* 15.34/4.31 40(154) -> 155* 15.34/4.31 40(149) -> 145* 15.34/4.31 40(4) -> 163* 15.34/4.31 40(171) -> 170* 15.34/4.31 40(126) -> 127* 15.34/4.31 40(16) -> 80* 15.34/4.31 40(88) -> 89* 15.34/4.31 40(18) -> 96* 15.34/4.31 40(3) -> 47* 15.34/4.31 50(70) -> 71* 15.34/4.31 50(60) -> 61* 15.34/4.31 50(10) -> 157* 15.34/4.31 50(132) -> 167* 15.34/4.31 50(87) -> 88* 15.34/4.31 50(82) -> 83* 15.34/4.31 50(2) -> 60* 15.34/4.31 50(159) -> 156* 15.34/4.31 50(134) -> 135* 15.34/4.31 50(44) -> 45* 15.34/4.31 50(39) -> 42* 15.34/4.31 50(19) -> 20* 15.34/4.31 50(14) -> 54* 15.34/4.31 50(4) -> 26* 15.34/4.31 50(106) -> 107* 15.34/4.31 50(101) -> 102* 15.34/4.31 50(96) -> 142* 15.34/4.31 50(91) -> 92* 15.34/4.31 50(76) -> 154* 15.34/4.31 50(158) -> 159* 15.34/4.31 50(138) -> 136* 15.34/4.31 50(58) -> 57* 15.34/4.31 50(18) -> 91* 15.34/4.31 50(3) -> 14* 15.34/4.31 50(165) -> 162* 15.34/4.31 50(155) -> 153* 15.34/4.31 1 -> 3,65 15.34/4.31 8 -> 3,146 15.34/4.31 13 -> 3,146 15.34/4.31 50 -> 9,47 15.34/4.31 53 -> 60* 15.34/4.31 57 -> 60,91 15.34/4.31 59 -> 60* 15.34/4.31 64 -> 3,65 15.34/4.31 69 -> 3,146 15.34/4.31 74 -> 3,146 15.34/4.31 79 -> 3,146 15.34/4.31 81 -> 3,146 15.34/4.31 86 -> 3,19 15.34/4.31 90 -> 3,19 15.34/4.31 95 -> 3,19 15.34/4.31 100 -> 3,19 15.34/4.31 105 -> 3,19 15.34/4.31 110 -> 3* 15.34/4.31 113 -> 3,132 15.34/4.31 145 -> 9* 15.34/4.31 150 -> 9* 15.34/4.31 153 -> 9* 15.34/4.31 156 -> 9* 15.34/4.31 160 -> 60* 15.34/4.31 162 -> 60* 15.34/4.31 166 -> 60,107 15.34/4.31 170 -> 60* 15.34/4.31 problem: 15.34/4.31 15.34/4.31 Qed 15.34/4.32 EOF